Question 12 Evaluate: f 0 tan (0)d0 O E arctan 0 + arctan(0) 0 +C 21 O arctan(0) 0 2 arctan 0 + C 21 arctan(0) 0 arctan 0+ C 0 arctan(0) + C arctan 0+ 2)

Q: Question 11 puas √1+1² Ffxx)=f -dt, then f'(x) equals 0 I+e' In(secx)√1+tan²x Itela tanx sec³x 1+ele…

A: Topic:- application of integration  Note :- as per our guideline if more than one question uploaded…

Q: Question 7 2²e"² sin(x²yz) Let f(x, y, z) 12 find dyəzə"x at the point (3, 0,0) 4 8.

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Q: Question 4. (1) [x³² √x² + 4 dx. X3 sin (In x) X (ii) S -dx. Evaluate the integral: (iii) Choose a…

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Q: Question 10 Using the method of Variation of Parameters, the particular solution Y, for the NHLDE…

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Q: Question 12 If the solution to e2x sec2(e2x+1)dx is equal to ktan (e2x+') + C, find the exact val S…

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Q: Question 10 Given: y = xcos (x); Find y'". O(E) None of these Oy" xsin (x) + 2 cos(x) Oy" asin (x) -…

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Q: Question 2 [17] 2.1 If f(x;y) = sin(xy) +x* In y, find f., at (0:4). 2.2 Let f(x; y) = arctan y 2+x?…

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Q: Question 8 Given f (x, y, z) = zey - x sin-¹(3), what is fzz |ƒ(0,2,1)? 2e² 1 1 √√3 1 √3 none of the…

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Q: Question 10 of 34 dx Evaluate f xVx2-9 O A) 1/3 arcsec(x/3) + C B) I DON'T KNOW O C) -1/3…

A: Solution

Q: Question 15 Explain how y = cos x+ 2 is different from y = cos (x +2) T TT Arial %3D 3 (12pt) T E II

A: Explain how y=cosx+2 is different from y=cosx+1

Q: Question 9 Given f(x, y, z) = zey 0 0 01- 02-/ O 2e² - 3 Onone of the choices - X sin (#), what is…

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Q: Can you please answer this question and show all of the steps and say the correct letter

A: Given function is

Q: Question 17 Evaluate D3(sinx – 4e) (A) -sin x-32е2х B sin x-32ex -cos x-32 e2x D cos x-32 e?x

A: Solution

Q: Question 1 Differentiate: arcsin Oy/x 01 O x/y O (E) None of these 0 0 (# )+ + arccos (²-) = 1

A: Differentiation

Q: Question 2 d cos x Find dx In x A. X sin x x In x sin x+cos x x (In x) 1 COs X x In x sin x+cos x D.…

A: To find differentiation  ddxcosxlnx

Q: Question 003: Complete the following question involving Substitution Method. Given the integral S8…

A: Given : ∫8sin3x-7cos3x-75dx

Q: Question 5 Find the partial derivative for the function z = cos 08--17y¹8sin(x¹7+y¹7) - 17y¹6…

A: Given that     z = cosx17+y17      we have to evaluate partial derivative ∂z∂y .    since we…

Q: Question 6 The following DE sin(x) +y cos(x) =1 can be written as dx cosx) dy 1-y xp sin(x) None of…

A: topic - differential equations answer is none of these

Q: Question 3 If f(x) = f A sec ³x 1+elanx B 1+tan²x 1+etanx In (secx) √ 1+tan²x C tanx 1 + e sec²x D…

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Q: Question 3 Calculate the integral: 2x sin(3 x) dx 2 2 a) Ox cos(3x) + sin(3x) + C 2 b) O-x cos(3x) +…

A: Apply integration by parts

Q: Question 5. Evaluate the indefinite integral 2020 (x) tan 2021 (x) dx. COS“

A: Given :

Q: Question 9 Let y = tan e find the differential dy of the function. O dy = e (r – 1) sec e- da O dy =…

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Q: Question3: A. Find the general solution of the following first-order ODE xy' = y + 2x³ sin² (²)

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Q: 450 400 AA 350 300 250 200 150 100 50 -4 -50 8 16 24 28 36 12 20 32 -100 -150 -200 -250 -300 Dy =…

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Q: Question 10 Compute y for y=(tanx)**+1 sec?x y = (tanx)**+1 2xin(tanx) + (x² + 1) tanx %3D sec?x y…

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Q: QUESTION 10 2x2 – 1 Performing the integration dr yields: (х- 2)3 a. sin -1(x– 3) + c O b. 31n(x- 2)…

A: Follow step below.

Q: s- 1 L-1 [s² – 2s + 5. e-t sin(2t) e-t cos(4t) Option 1 O Option 1 O et cos(4t) e-t cos(2t) Option 1…

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Q: Question 6 S sin(x) dx = a) sin ()x + C O b) - cos(x) + C O9 - cos(x)x+ C Od) x+ C

A: Given query is to find the integral of sin(π).

Q: QUESTION 2 Determine a potential function for F(x,y,z) = sin(y)e³²i - xsin(y)e?j + 3xcos(y)e32k or…

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Q: Question 4 Verify the following antidifferentiation formulas. (a) / In: In x dx = x In x – x +C (b)…

A: This question contains multiple subparts and as per company guiledines  we need to solve first 3…

Q: Question 5 Does x2 – 10 = x x sin x have a real solution? Show your process. %3D

A: yes the equation have real solution

Q: QUESTION 7 Find the most general antiderivative. Stosecx) dx (-6 O-6 tan x-C O-6 cot x -C (1 tan x.…

A: We have to integrate

Q: QUESTION 9 The solution of the IVP: = 2x+ dx? %3D y(0) = 2 v'(0) = 4 is y(x)= * +2 x sin-x + V1-x²…

A: Initial value problem is an ordinary differential equation having initial conditions on a specific…

Q: Question 1: Evaluate the triple integral [[[ z² sin(x²y)dzdydr 0 4

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Q: Question 8 Let y = tan find the differential dy of the function. O dy = e* (x² – 1) sec² \ e*"-1 dæ…

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And ddxtanx=sec2xddxex=ex…

Q: Question 20 Solve (x + Vy² – x²) y' – y= 0 O '(÷) - In y - sin O None of the choices O In y – sin )…

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Q: QUESTION 4 SIn(x +2) dx = O A (x +2) In(x+2)- 20x +C O B. x In(x + 2) 20 " -x+ C 20 OC (x +2) In(x…

A: Integrated by part

Q: QUESTION 1 Given that = 0.2836 approximates f(x) = cos x at x = 5. 1. Find the absolute error 2.…

A: Solution: True value of f(x) = cos x at x = 5 (radian) is         f(5) = cos(5) = 0.2836621855. So…

Q: question 6. (D4-5D²-36)y = 0 answer 6. y = k₁ cosh 3x + k₂ sinh 3x + C3 cos 2x + C4 sin 2x…

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Q: Question 6 Differentiate: y = arccot (x) + arctan 2 + x 1 - 2x 0 1 (E) None of these O:2x O 1-2x

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Q: Question 22 The solution for the initial value problem -sinx, y()=1 dy is 3D1 dx O a. y=-cosx+1 1…

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Q: Question 4 (The Fundamental Theorem of Calculus). if y = sin (t- 1) dt. dy Find if y = dr cos? x O -…

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Q: Question 2 Find the solution to the DE. (y- x+ xycotx)dx + xdy=0 O xysinx = C+ sinx – xcosx O y=…

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Q: Question 170 Calculate f 3 in x.cos x dx. (a) 3sin x cos x , In 3 (b) 3cosx . In 3 (c) 3sin x. In 3…

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Q: Can someone help me check these and if there is anything wrong can someone tell me ??

A: Given : f(x) = tan(2/3.x)  Yes, This graph show the correct plotting of given function f(x) =…

Q: Question 11 Integrate f 9z2 - 5+dz Type only the numeric value below and be sure to show all of your…

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Q: Question 11 Зсos3x-1 To evaluate f scos - dx, the integrand can be transformed to 1-sin?x A.)…

A: We put 1-sin2x=cos2x and then solve it. Follow 2nd step.

Q: Question 21 Find the antiderivative of f 5sin x* In 5 cos x dx. A.) 5cosx + C В.) 5sinx + C C.)…

A: To find:- ∫ 5sin(x) ln(5) cos(x) dx

Q: Question 10 tanx If f(x)= A (B) C D sec ³x Itelin sec²x Iteline 1+1² I+e' -dt, then f'(x) equals…

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Q: Question 6 Given: f (x, y, z) = cos(xyz) + ln x5 - sinh y² + 3z Find: af(x, y, z) дz at P(-1, 3, 0)…

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